Thermoelastic vibration of temperature-dependent nanobeams due to rectified sine wave ...

In this paper, the second type of Green and Naghdi's thermoelasticity theory is applied to present the vibration of a nanobeam subjected to rectified sine wave heating based upon the nonlocal thermoelasticity theory. Both Young's modulus and thermal conductivity are considered to be linear functions of the temperature. Laplace transform domain is adopted to solve the goveing partial differential equations using the state space approach. Numerical computations are carried out using the inverse of Laplace transforms. Effects of nonlocal parameter and angular frequency on thermal vibration quantities are discussed. Results of all quantities are illustrated graphically and investigated.